What is the Greatest Common Factor of 18870 and 18886?

Greatest common factor (GCF) of 18870 and 18886 is 2.

GCF(18870,18886) = 2

We will now calculate the prime factors of 18870 and 18886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18870 and 18886.

How to find the GCF of 18870 and 18886?

We will first find the prime factorization of 18870 and 18886. After we will calculate the factors of 18870 and 18886 and find the biggest common factor number .

Step-1: Prime Factorization of 18870

Prime factors of 18870 are 2, 3, 5, 17, 37. Prime factorization of 18870 in exponential form is:

18870 = 2¹ × 3¹ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 18886

Prime factors of 18886 are 2, 7, 19, 71. Prime factorization of 18886 in exponential form is:

18886 = 2¹ × 7¹ × 19¹ × 71¹

Step-3: Factors of 18870

List of positive integer factors of 18870 that divides 18870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 37, 51, 74, 85, 102, 111, 170, 185, 222, 255, 370, 510, 555, 629, 1110, 1258, 1887, 3145, 3774, 6290, 9435

Step-4: Factors of 18886

List of positive integer factors of 18886 that divides 18870 without a remainder.

1, 2, 7, 14, 19, 38, 71, 133, 142, 266, 497, 994, 1349, 2698, 9443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18870 and 18886. The biggest common factor number is the GCF number.
So the greatest common factor 18870 and 18886 is 2.

Also check out the Least Common Multiple of 18870 and 18886